I beat it! I love the concept but the controls are very frustrating haha. The actual puzzle parts are cool, figuring out that there are (spoiler) invisible cubes: awesome. But the jumping was very punishing, and it was quite difficult to move the bigger invisible cube away from the wall. I actually thought it wasn't possible after trying to push it it for a while, so I attempted the jumps and just barely failed every time. Decided to rub the two invisible cubes against each other which eventually worked to push the bigger one out.
Essentially - cool idea, but really hard haha. The concept got me determined enough to carry on for a while and actually complete it, but I was close to giving up.
Thanks for your entry!